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Finding the Third Proportional to 2,002,110.75 and 4,724,159.63

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Solution

The third proportional to 2,002,110.75 and 4,724,159.63 is: 11,147,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,110.75 : 4,724,159.63 = 4,724,159.63 : x
  2. Step 2: Convert to fraction form
    2,002,110.75/4,724,159.63 = 4,724,159.63/x
  3. Step 3: Cross multiply
    2,002,110.75x = 4,724,159.63 × 4,724,159.63
  4. Step 4: Simplify right side
    2,002,110.75x = 22,317,684,162,480.14
  5. Step 5: Solve for x
    x = 22,317,684,162,480.14/2,002,110.75
  6. Step 6: Final answer
    x = 11,147,077.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.